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alisha [4.7K]
2 years ago
8

The length of a rectangle is 4x meters and its width is 5x meters determine the value of x and the width if the perimeter of the

rectangle is 54 meters.
x=
width=
Mathematics
1 answer:
AlladinOne [14]2 years ago
5 0

Answer:

x = 3

width = 15

Step-by-step explanation:

perimeter of a rectangle = 2 * width + 2 * length

54 = 2 * width + 2 * length = 2 * (4x) + 2*(5x) = 8x + 10x + 18x

54 = 18x

divide both sides by 18 to isolate x

x = 3

width = 5x = 5 * 3 = 15

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Tony wants to save $10,000 in 6 years. Assuming a 4% interest rate, what is the minimum he must save each month to reach his goa
arlik [135]

We have been given that Tony wants to save $10000 in 6 years.

That means future value S = $10000

Time t= 6 years

Interest rate = 4% yearly = 0.04 yearly

n=12 months per year

Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is

S=R(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})

10000=R(\frac{(1+\frac{0.04}{12})^{12*6}-1}{\frac{0.04}{12}})

10000=R(\frac{(1+0.00333333333333)^{72}-1}{0.00333333333333})

10000=R(\frac{(1.00333333333333)^{72}-1}{0.00333333333333})

10000=R(\frac{1.27074187908-1}{0.00333333333333})

10000=R(\frac{0.27074187908}{0.00333333333333})

10000=R(81.2225637241)

\frac{10000}{81.2225637241}=R

123.11849739=R

which is approx $123.

Hence final answer is C) $123.

4 0
3 years ago
After transforming f(x) = 2x² + 4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?
vagabundo [1.1K]

Answer:

The correct answer to your question is A because your asking for the vertex of the equation.

Step-by-step explanation:

Vertex                                                                                                                         Algebraic Equations

6 0
3 years ago
Madison hits a tennis ball with an initial velocity of 18 m/s straight up into the air. When she hits the ball, it is 1.2 m abov
Yuri [45]
The answer is c i believe
4 0
2 years ago
Given the points (6, 6) and (-7, -6) find the slope.
ANEK [815]

Answer:

12/13

Step-by-step explanation:

m=(-6-6)/(-7-6)=-12/-13=12/13

5 0
2 years ago
Find the missing length indicated. Leave your answer in simplest radical form.
musickatia [10]

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

   \frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}

   56x = (18√14)²

   56x = 4536

   x = \frac{4536}{56}

   x = 81

2). By applying geometric mean theorem,

    \frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}

    16x = (8√21)²

    16x = 1344

    x = \frac{1344}{16}

   x = 84

6 0
2 years ago
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